A number consists of two digits whose sum is 9. If 27 is added to the number, its digits are interchanged. Which of the given steps is CORRECT to find the number?
Step 1 :Let the unit’s digit be x
Step 2 :Then, ten’s digit = (9 – x)
∴ Number = 10 × (9 – x) + x
⇒ 90 – 10x + x = (90 – 9x)
Step 3 :Adding 27 to the number 90 – 9x, we get 117 – 9x
Step 4 :Number with digits interchanged is 10x + (9 – x) = 9x + 9
Step 5 :117 – 9x = 9x + 9
Step 6 :Therefore unit’s digit = 6 and ten’s digit = 3
Step 7 :Hence the number = 36.
A Only Step 4
B Both Step 1 and Step 2
C Step 1, 2, 3 and 4
D All steps are correct
how to find the solution
In a town, there are two public libraries. The number of books in one library is 2,84,683 and the number of books in another library is 3,71,805.
(i) What is the total number of books in both the libraries?
(ii) How many more books does the second library have than the first library?
C 6,56,498 87,122
D 4,65,880 87,211
Mrs. Preeti had 5 litres of syrup. She poured the syrup into bottles of 300 ml each. How many bottles did she use to contain all 5 litres of syrup?
Study the timings of daily activities of Payal as shown in the table and fill in the blanks.
• Activities that last for 1 hour in total are ___P___ and ___Q___.
• The activity that lasted for 15 minutes only is ___R___.
AP-Reading Book Q-Playing Football R-Reading Book
BP-Playing Football Q-Reading Book R-Dance Practice
CP-Playing Football Q-Reading Book R-Painting
DP-Doing Homework Q-Playing Football R-Reading Book
Piyali bought 28.5 metres of cloth. She used 2.5 metres of the cloth to make a shirt and 3/5 of cloth that used for the shirt, to make a matching pair of shorts. She sewed 6 shirts and some pairs of shorts for her children. If she had 1.5 metres of cloth left, then how many pairs of shorts did she sew ?